In the recent years there has been considerable emphasis on understanding the regional dimensions of economic growth in India within the convergence implications of neoclassical growth paradigm. The study has tested the convergence hypothesis in per capita agricultural output and foodgrains productivity across the major 15 states of India. During 1971-2007, Indian states have exhibited sigma divergence in per capita agricultural output. The study on relationship between initial foodgrain output and growth rates has shown a divergence pattern rather than convergence during 1971-1988, and we could observe a weak convergence during 1988-2007.